weakly chaotic functions with zero topological entropy and non- flat critical points.
Chance and Chaos.
Chaos & pseudochaos: Some basic remarks
Chaos and geometric order in architecture and design.
Chaos and shadowing around a homoclinic tube.
Chaos: Challenges from and to socio-spatial form and policy.
Chaos control and hybrid projective synchronization of a novel chaotic system.
Chaos control of a fractional-order financial system.
Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Chaos in ecology: The topological entropy of a tritrophic food chain model.
Chaos in some planar nonautonomous polynomial differential equation
We show that under some assumptions on the function f the system generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.
Chaos made visual.
In this paper we show how the main properties of chaos can be fully visualized at the light of a very easy to handle object, the tent function. Although very concrete, this case is representative of a very large number of examples, with more or less the same properties.
Chaos synchronization between two different fractional systems of Lorenz family.
Chaos synchronization of a fractional nonautonomous system
In this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system.With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand, using a Phase-Locked-Loop (PLL) analogy we synchronize the same system. The numerical results demonstrate the effectiveness of the proposed methods.
Chaotic attractor generation via a simple linear time-varying system.
Chaotic attractors of two-dimensional invertible maps.
Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium
By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived...
Chaotic behavior of the biharmonic dynamics system.
Chaotic dynamics and nonlinear feedback control
Chaotic dynamics in a flexible exchange rate system: a study of noise effects.