Suresh Rasappan

University of Technology and Applied Sciences- Ibri · Mathematics

In this study, the chaotic behavior of a second-order circuit comprising a nonlinear resistor and Chua’s diode is investigated. This circuit, which includes a nonlinear capacitor and resistor among its components, is considered one of the simplest nonautonomous circuits. The research explores various oscillator characteristics, emphasizing their ch...

The purpose of this study is to introduce a novel cryptographic method that utilizes the Mahgoub transformation in conjunction with its inverse transform, along with the S-box technique. This study aims to develop a text cryptosystem based on their complex behaviors, with evaluations confirming its potential for secure cryptographic applications. A...

Shadow education, also known as private tutoring or supplementary education, has global implications for educational systems. This abstract explores its origins, prevalence, impact, and contributing factors. It shapes academic trajectories, influences student outcomes, and addresses educational equity. Cultural norms, perceived educational system s...

The goal of this research is to develop a unique cryptographic method that makes use of Aboodh and its inverse transform in combination with the S-Box approach. The results of evaluations indicate that this work is appropriate for use in safe cryptographic applications, and it provides clues regarding the building of an image cryptosystem based on...

The aim of this research is to create a novel cryptographic technique by incorporating Aboodh and its inverse transform into the S-Box method. The evaluation outcomes suggest that this method is suitable for secure cryptographic applications and offers insights into the construction of an image cryptosystem based on its complex behavior. Real-life...

The cycle of life includes everything from joy to sorrow to good health to sickness. Most people have had a viral infection at some point in their lives, whether it was a small infections or the flu. It is amazing that a microscopic particle that cannot even be seen under a microscope and cannot even replicate on its own can enter any living creatu...

This paper presents a comprehensive endeavor focused on the construction and advancement of a 3-bit calculator designed for an Arithmetic Logic Unit (ALU). The primary method is the incorporation of both vertical and crosswise multiplication techniques. These techniques are harnessed to facilitate the multiplication of 3-bit values, employing found...

The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced for triangular wave non-linearity. It is worth noting that this striking phe...

The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced for triangular wave non-linearity. It is worth noting that this striking phe...

The mosquito life cycle is developed mathematically with the concept of difference equation. The qualitative properties of the life-cycle are analyzed. The Lyapunov function is defined for difference equation to stabilize the system of mosquito life cycle. A novel technique is applied for deriving stability criterion, especially the back-stepping c...

Information security is very much important in this internet world, especially in Electronic communications such as system security, smart card, mobile communications etc. Cryptography is based on transformation of multiple rounds of transformation of messages in the form of plain text as input into encrypted text message. Through suitable mathemat...

This article explores the hybrid chaos synchronization between two identical Li – Chen – Liu chaotic system. Further investigation for two non – identical chaotic systems, namely Liu – Chen – Liu and Lu, synchronization is performed. The effective back propagation method is employed to synchronize the chaotic systems. The simulation part is done an...

The problem of controlling system which uses gyroscope to form non-linear system is framed. The major attention of this work it to control on the dynamics of gyros with the non-linear terms. The control of the system involving gyroscope is a trivial problem which is coupled to make the non-linear system. The endeavor is taken in this work without e...

This paper investigates the factor analysis of HIV transmission through mobile heterosexual population. The analysis of qualitative properties of the dynamics are done. In a continuous dynamical system involving various parameters, it is possible that a small change in a parameter has tremendous impact on the solution of the system. The bifurcation...

This paper investigates about the method to control three species system of generalized Lotka-Volterra method. The system’s stability is investigated by applying stability theory on Lyapunov function. The backstepping measure which is an iterative process is applied to control the system. In backstepping computations the Lyapunov exponents are not...

The purpose of this paper is to examine the aspects of the mathematical analysis of HIV transmission through homo and heterosexual. A system of differential equations is designed for the transmission for homo and heterosexual. Equilibrium and interior equilibrium points are identified. Bifurcation analysis forms an important tool in this study. The...

In this paper, two logarithmic non-linearities are proposed for a new four-dimensional chaotic system. The phase portrait, Lyapunov exponent, bifurcation, stability, and other dynamical features of the new chaotic system are all discussed. The multi-stability of the new chaotic system with coexisting attractors has been established. The adaptive ba...

In this paper, a mathematical model for plasmodium life cycle is designed with parameters to describe the states. Through this construction one can forecast the rate of infection. The deterministic model is designed for plasmodium life cycle if exponential growth occurs at each state. Further some basic qualitative properties are investigated in an...

The aim of this article is to present a new chaotic oscillator. Although several chaotic systems have been formulated, despite that a few chaotic systems exhibit chaotic behavior. A new chaotic system with chaotic attractor is introduced for the nonlinearity of triangular waves. It is interesting to note that this striking phenomenon occurs rarely...

Information security is very much important in this Internet world, especially in electronic communications such as system security, smart card, mobile communications. Cryptography is based on transformation of multiple rounds of transformation of messages in the form of plain text as input into encrypted text message. Through suitable mathematical...

This paper brings out a study on the feedback from students about the online classes which is carried out in this pandemic situation. The analysis is performed based on various aspects of online classes such as effectiveness of teaching, usage of tools, and the quality of assessments through the online platforms. The fuzzy models like combined effe...

The unused concepts of digital neutrosophic sets are considered in this paper. The thoughts of digital neutrosophic interior and closure, digital neutrosophic regular open set, digital neutrosophic regular open set, digital neutrosophic pre-open set, digital neutrosophic semi-open set, digital neutrosophic α open set and digital neutrosophic β open...

This paper presents the results of a survey on faculty assessment on online classes, which was conducted in the midst of the epidemic. The analysis is focused on many characteristics of online classrooms, such as teaching efficacy, tool usage, and the quality of assessments delivered through online platforms. The fuzzy models like combined effectiv...

A graph theory-based chaos synchronization is introduced. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. The synchronization of chaotic systems, which seems addressed in a range of applications, is addressed in this paper on graphs. This work shown that the struc...

In this paper, the asymptotic mean square stability of an observer-based chaos synchronization to time delay fuzzy stochastic system is analyzed. Utilizing the Lyapunov stability theory, fuzzy-based stochastic system with time delay is designed, which is assumed to have asymptotic mean square stability. Fuzzy-based chaotic synchronization has been...

The control of impulsive chaotic system based on T–S fuzzy model is investigated. The asymptotic mean square stability criterion is designed. A robust supervisory control is proposed. When fuzzy based impulsive chaotic systems are subjected to system uncertainties and external disturbance, the supervisory control can induce the convergence speed of...

The government and various authorized agencies are trying to reduce HIV population day by day. The proposed mathematical model may help to observe the patch of HIV infected or suspected population by nominated agencies. The proposed mathematical model supports the observability and asymptotic stability of the propagation of HIV epidemiology in a mi...

The main focus in this article designs a mathematical model to deduct the error of recurrent chaotic neural networks. Employing basic techniques such as the drive response principle is used to evaluate via LMI by different algorithms of convex optimization. LMI procedure along with energy source function (Lyapunov function) is adapted to perform th...

This study explores the hierarchical dynamics of a predator model in which the population of prey is comprised of two classes: susceptible and infected (SI) prey including the non-selective prey harvesting. The system’s points of equilibrium are found. The model’s stability properties were tested by both locally and globally. Next, we have implemen...

Synchronization of neuronal bursting using backstepping control with recursive feedback SURESH RASAPPAN J.L. Hindmarsh, R.M. Rose introduced the concept of neuronal burst. In this paper, synchronization is investigated for the construction of a model of neuronal burst using backstepping control with recursive feedback. Synchronization for a model o...

This paper investigates the global chaos synchronization of identical Liu-Su-Liu chaotic systems (2006) and non-identical Liu-Su-Liu chaotic system (2006) and Liu-Chen-Liu chaotic system (2007). In this paper, active nonlinear control method has been successfully applied to synchronize two identical Liu-Su-Liu chaotic systems and then to synchroniz...

Present article investigates the complexity and stability analysis of plasmodium life cycle model in mosquito midgut. The existence of equilibrium point of the system are presented. Analysis of global stability are investigated by constructing suitable condition, around the interior equilibrium point. Theoretical results are numerically supported a...

This paper investigates to breakup the complexity plasmodium life cycle model using backstepping control technique. Lyapunov function is derived for the recursive procedure to the entire system. Depends upon some state in the system ’pseudo controls’ are applied and achieves global stability for plasmodium life cycle.

The mathematical model of Nitrogen Cycle with exponential growth is designed. The dynamical behaviour of the model with interior equilibrium point is also determined. Also, stability analysis of the model is performed using Lyapunov function.

This paper deals with stability analysis of diffusive three species predator-prey model (Lotka-volterra model) with interval biological parameter harvesting. The boundedness and equilibrium points of the prey predator model has been found and discussed about stability analysis of predator-prey model involving intra-specific coefficient with randomn...

Teaching and Training the slow learners are the biggest challenge that the Institutions are facing nowadays, since in a classroom all category of students like toppers, averages and slow learners will be seated together it’s a tough task for the faculty to show focus on the slow learners in specific. Most of the schools nowadays categorize the clas...

In this paper, a mathematical model with back-stepping controller is proposed and analyzed to study the prey-predator interaction in which the prey population is infected. Investigation is made of the dynamical complexities of a prey-predator model with susceptible and infected (SI) prey including the non-selective prey harvesting with back-steppin...

This paper investigates the complex effects of Anopheles Mosquito Model. The system of Anopheles mosquito in random noise has not been investigated so far. The present paper is a contribution in this unexplored area. Its been noticed that the system has been found with boundedness. The equilibrium points of the system are also found out. Global sta...

In this paper, the asymptotic mean square stability of an observer based chaos synchronization to time delay fuzzy stochastic system is analyzed. Utilizing the Lyapunov stability theory, fuzzy based stochastic system with time delay is designed, which is assumed to have asymptotic mean square stability. Fuzzy based chaotic synchronization has been...

In this article, we propose and study a three dimensional continuous time prey-predator model where the prey species is separated in to susceptible and infected (SI). It has been assumed that in the interaction of susceptible and infected prey populations, predator predates on infected prey only. In this work, we discussed the problem of controllin...

In this article, we propose and study a three dimensional continuous time preypredator model where the predator is exposed to the risk of disease with Holling type II functional response and we introduced combined harvesting to all the populations. The model consists of prey, susceptible predator and infected predator. We assumed that the infected...

This paper investigates the control of chaotic oscillatator, viz. Colpitts chaotic oscillator by adaptive feedbackcontrol method. Our theorem on control for Colpitts oscillatior is established using Lyapunov stability theory. The adaptive feedback scheme links the choice of a Lyapunov function with the design of a controller. The adaptive control i...

Chaotic systems that involve a third order ordinary differential equation in a single variable with simple polynomial nonlinearities with one or two parameters is called chaotic jerk systems. In this paper, nonlinear feedback control method which is based on Lyapunov stability theory is proposed to stabilize the chaotic jerk system. By means of app...

In this paper, hybrid synchronization is investigated for n-scroll hyperchaotic Chua circuit using adaptive backstepping control. The theorem on hybrid synchronization for n-scroll hyperchaotic Chua circuit is established using Lyapunov stability theory. The backstepping scheme is recursive procedure that links the choice of Lyapunov function with...

This paper investigates the synchronization of chaotic oscillation, viz. Colpitts chaotic oscillator by nonlinear control method. Our theorem on synchronization for Colpitts oscillator is established using Lyapunov stability theory. The essential property of a chaotic oscillator is not asymptotically stable, it has been established that synchroniza...

This paper investigates the dynamical complexities of a prey predator model with susceptible and infected (SI) prey with nonlinear feedback. A nonlinear feedback mathematical model is proposed and analyzed to study the predator interaction with infected prey. It has been assumed that the susceptible and infected prey populations are predated by pre...

In this article, a three dimensional continuous time prey-predator system consisting of susceptible prey, infected prey and predator is proposed and analysed in the presence of intra-specific competition in predator and mortality of infected prey and predator. We assumed the predator preys on infected species only. We analysed the dynamics of the s...

In this paper, dynamics of anopheles mosquito life cycle break-ups is derived. The anopheles mosquito life cycle break-up is derived using backstepping control. The backstepping control method gives a systematic procedure for selecting a controller in anopheles life cycle. The break-ups are derived using Lyapunov stability theory. The backstepping...

In this paper, global chaos synchronization is investigated for WINDMI (J. C. Sprott, 2003) and Coullet (P. Coullet et al, 1979) chaotic systems using adaptive backstepping control design based on recursive feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The a...

In this paper, global chaos synchronization is investigated for n-scroll Chua (Tang et al. in IEEE Trans Circ Syst I Fundam Theory Appl 48:1369–1372, 2001) and Lur’e (Suykens and Vandewalle in Int J Bifurc Chaos 7:1323–1325, 1997) chaotic systems using backstepping control with recursive feedback. Our theorems on synchronization for n-scroll Chua a...

In this paper, dynamics of anopheles mosquito life cycle break-ups is derived. The anopheles mosquito life cycle break-up is derived using backstepping control. The backstepping control method gives a systematic procedure for selecting a controller in anopheles life cycle. The break-ups are derived using Lyapunov stability theory. The backstepping...

This paper derives new results for the chaos synchronization of Colpitts oscillator (1994) via backstepping control method. Our main theorem on chaos synchronization for Colpitts oscillator has been proved using Lyapunov stability theory. The backstepping scheme is a recursive procedure that links the choice of a Lyapunov function with the design o...

In this paper, the hybrid synchronization is investigated for n-scroll chaotic Chua circuit (Wallace et al. (2001)) using adaptive backstepping control design based on recursive feedback control. Our theorems on hybrid synchronization for n-scroll chaotic Chua circuits are established using Lyapunov stability theory. The adaptive backstepping contr...

In this paper, the global chaos synchronization is investigated for the family of n-scroll hyperchaotic Chua circuits (Yu et al. [37]) using backstepping control with recursive feedback. The backstepping control method gives a systematic procedure for selecting a controller in chaos synchronization. Our theorems on synchronization for the family of...

This paper investigates the backstepping control design with novel feedback input approach for controlling chaotic systems to guarantee the complete synchronization as well as the anti-synchronization of chaotic systems, viz. n–scroll Chua (K. Wallace et.al. 2001) and Lur’e chaotic systems. Our theorems on hybrid synchronization for n–scroll Chua a...

This paper investigates the global chaos synchronization of chaotic systems, viz. WINDMI chaotic system by backstepping control method. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the backstepping control...

This paper investigates the hybrid chaos synchronization of identical Arneodo systems (1981), identical Rossler systems (1976) and non-identical Arneodo and Rossler systems. In hybrid synchronization of chaotic systems, one part of the systems is synchronized, while the other part is anti-synchronized so that complete synchronization (CS) and anti-...

This paper investigates the global chaos synchronization of chaotic systems, viz. Chen-Lee chaotic system (2004) by backstepping control method. Our theorem on synchronization for Chen-Lee chaotic system is established using Lyapunov stability theory. The backstepping scheme is recursive procedure that links the choice of a Lyapunov function with t...

This paper investigates the hybrid chaos synchronization of identical Arneodo systems (1981), identical Rössler systems (1976) and non-identical Arneodo and Rössler systems. In hybrid synchronization of chaotic systems, one part of the systems is synchronized and the other part is anti-synchronized so that complete synchronization (CS) and anti-syn...

This paper investigates the backstepping control design with novel feedback input ap-proach for controlling chaotic systems to guarantee the complete synchronization as well as the anti-synchronization of chaotic systems, viz. n–scroll Chua (K. Wallace et.al. 2001) and Lur'e chaotic systems. Our theorems on hybrid synchronization for n–scroll Chua...

This paper investigates the backstepping control design with recursive feedback input approach for achieving global chaos synchronization of identical hyperchaotic Liu systems(2001). Our theorem on global chaos synchronization for hyperchaotic Liu systems is established using Lyapunov stability theory. Since the Lyapunov exponents are not required...

This paper investigates the global chaos synchronization of identical hyperchaotic Bao systems (Bao and Liu, 2008), identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) and non-identical hyperchaotic Bao and hyperchaotic Xu systems. Active nonlinear control is the method adopted for the global chaos synchronization of the hyperchaotic system...

This paper investigates the hybrid chaos synchronization of identical 4-D hyperchaotic Qi systems, 4-Didentical hyperchaotic Jia systems and hybrid synchronization of 4-D hyperchaotic Qi and Jia systems.The hyperchaotic Qi system (2008) and hyperchaotic Jia system (2007) are important models ofhyperchaotic systems. Hybrid synchronization of the 4-d...

This paper investigates the global chaos synchronization of two identical Liu-Chen-Liu chaotic systems (2007) and two different chaotic systems, namely, Liu-Chen-Liu chaotic system (2007) and Lü chaotic system (2002). Nonlinear control is an effective method for making two identical chaotic systems or two different chaotic systems synchronized. Sin...

This paper investigates the global chaos synchronization of hyperchaotic systems, viz. synchronization of identical hyperchaotic Bao systems (Bao and Liu, 2008), and synchronization of non-identical hyperchaotic Bao and Xu systems. Active nonlinear feedback control is the method used to achieve the synchronization of the chaotic systems addressed i...

This paper investigates the hybrid synchronization of identical hyper-bolic Qi systems and hybrid synchronization of hyperchaotic Qi and Lü systems. The hyperchaotic Qi system (2008) and hyperchaotic Lü system (2006) are im-portant models of hyperchaotic systems. Hybrid synchronization of the hyper-chaotic systems is achieved through synchronizatio...

The asymptotic stability of optical-hyper chaotic synchronization is analyzed. In this paper by utilizing the Lyapunov stability theory, a non-autonomous hyperchaotic synchronization system is designed, which ensures that the synchronization error of an optical hyper-chaotic system is asymptotically stable. In addition, an example is provided to il...

This paper investigates the global synchronization of two identical and two different chaotic systems. The proposed method by nonlinear control and Lyapunov functions is very useful to synchronize two identical and two different chaotic systems. The nonlinear control method has been successfully applied to synchronize two identical Duffing attracto...

This paper investigates the global synchronization of two identical R�ssler chaotic systems [23] and two different chaotic systems, namely, R�ssler chaotic system [23] and Arneodo chaotic system [24]. Nonlinear control is an effective method for making two identical chaotic systems or two different chaotic systems synchronized. Since the Lyapunov e...

This paper investigates the global exponential synchronization of chaotic systems, viz. identical T systems (Tigan and Opris, 2008), identical Cai systems (Cai and Tan, 2007) and synchronization of T and Cai systems. Nonlinear feedback control is the method used to achieve the synchronization of the chaotic systems addressed in this paper and our t...