A 3D Smale horseshoe in a hyperchaotic discrete-time system.
A chaos-based secure cluster protocol for wireless sensor networks
Security mechanisms for wireless sensor networks (WSN) face a great challenge due to the restriction of their small sizes and limited energy. Hence, many protocols for WSN are not designed with the consideration of security. Chaotic cryptosystems have the advantages of high security and little cost of time and space, so this paper proposes a secure cluster routing protocol based on chaotic encryption as well as a conventional symmetric encryption scheme. First, a principal-subordinate chaotic function...
A chaotic function with zero topological entropy having a non-perfect attractor
A characterization of chaotic functions with entropy zero via their maximal scrambled sets
In this note we characterize chaotic functions (in the sense of Li and Yorke) with topological entropy zero in terms of the structure of their maximal scrambled sets. In the interim a description of all maximal scrambled sets of these functions is also found.
A general synchronization method of chaotic communication systems via Kalman filtering
A global perspective for non-conservative dynamics
A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario.
A new model for the transport of particles in a thermostatted system.
A new scenario in dissipative systems: sequential extinction of strange attractors
A note on generic chaos
We consider dynamical systems on a separable metric space containing at least two points. It is proved that weak topological mixing implies generic chaos, but the converse is false. As an application, some results of Piórek are simply reproved.
A note on strange nonchaotic attractors
For a class of quasiperiodically forced time-discrete dynamical systems of two variables (θ,x) ∈ with nonpositive Lyapunov exponents we prove the existence of an attractor Γ̅ with the following properties: 1. Γ̅ is the closure of the graph of a function x = ϕ(θ). It attracts Lebesgue-a.e. starting point in . The set θ:ϕ(θ) ≠ 0 is meager but has full 1-dimensional Lebesgue measure. 2. The omega-limit of Lebesgue-a.e point in is , but for a residual set of points in the omega limit is the...
A probabilistic and geometric perspective.
A simple mathematical model for Batesian mimicry.
A tentative answer to the Castel-San Pietro problem.
A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: an LMI approach.
A variational approach to chaotic dynamics in periodically forced nonlinear oscillators
About chaotization mechanisms of the distributed dynamical systems which are close to discrete.
Absolutely continuous measures for certain maps of an interval
Active stabilization of a chaotic urban system.
Amplitude suppression and chaos control in epileptic EEG signals.