Three-Saddle-Foci Chaotic Behavior of a Modified Jerk Circuit with Chua’s Diode

Hypogenetic chaotic jerk flows

Some simple chaotic jerk functions

One of the most remarkable recent developments in classical physics has been the realization that simple nonlinear deterministic equations can have unpredictable ~chaotic! long-term solutions. Chaos is now thought to be rather common in nature, and the study of nonlinear dynamics has brought new excitement to one of the oldest fields of science. The widespread availability of inexpensive person...

A simple current-reversible chaotic jerk circuit using inherent tanh(x) of an opamp

A simple current-reversible chaotic jerk circuit is proposed and particularly demonstrates the use of inherently tanh(x) nonlinearity of a single opamp for a chaotic jerk circuit. No additionally nonlinear devices are required. Bifurcation is electronically tunable through a current source in a reversible direction. The largest Lyapunov exponent of either direction forms mirror images, whereas ...

Metamorphosis of chaotic saddle

Chaotic saddles are nonattracting dynamical invariant sets that can lead to a variety of physical phenomena. We report Ž . our finding and analysis of a type of discontinuous global bifurcation metamorphosis of chaotic saddle that occurs in high-dimensional chaotic systems with an invariant manifold. A metamorphosis occurs when a chaotic saddle, lying in the manifold, loses stability with respe...

A Memristive Diode Bridge-Based Canonical Chua's Circuit

A novel memristor circuit is presented, which is generated from the canonical Chua’s circuit by replacing the Chua’s diode with a first order memristive diode bridge. The circuit dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. It can be found that the circuit has three determined equilibrium points, including a zero saddle...