Coupled Systems with Hyperchaos and Quasiperiodicity

Emergence of quasiperiodicity in symmetrically coupled, identical period-doubling systems.

Coupled systems of equations with entire and polynomial functions

We consider the coupled system$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1}   A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}$$with entire functions $A_k(y), B_k(y)$.We    derive a priory estimates  for the sums of the rootsof the considered system andfor the counting function of  roots.

Chaos and Hyperchaos in Shape Memory Systems

Shape memory and pseudoelastic effects are thermomechanical phenomena associated with martensitic phase transformations, presented by shape memory alloys. The dynamical analysis of intelligent systems that use shape memory actuators involves a multi-degree of freedom system. This contribution concerns with the chaotic response of shape memory systems. Two different systems are considered: a sin...

Quasiperiodicity and Chaos Chaos and Quasiperiodicity

Title of dissertation: QUASIPERIODICITY AND CHAOS Suddhasattwa Das, Doctor of Philosophy, 2015 Dissertation directed by: Professor James A. Yorke Department of Mathematics In this work, we investigate a property called “multi-chaos” is which a chaotic set has densely many hyperbolic periodic points of unstable dimension k embedded in it, for at least 2 different values of k. We construct a fami...

Sandwich synchronization of memristor-based hyperchaos systems with time delays

*Correspondence: [email protected] 1School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404120, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synch...