Chaotic dynamics exists in many natural systems, such as weather and climate, there are applications different disciplines. However, few research results about chaotic conservative systems especially the smooth hyperchaotic system both theory application. This paper proposes a five‐dimensional (5D) autonomous with nonhyperbolic fixed points. Although proposed includes four linear terms quadratic terms, new shows complicated which has been proven by theoretical analysis. Several notable...

This paper proposes a class of nonlinear systems and presents one example system to illustrate its interesting dynamics, including quasiperiodic motion chaos. It is found that the subsystem non-Hamiltonian system, which has continuous curve equilibria with time-reversal symmetry. In this study, dynamical evolution three different kinds external excitations are fully investigated by using general chaotic analysis methods such as Poincaré sections, phase portraits, Lyapunov exponents...

This paper reports a generic method for constructing n-fold covers of 3D conservative chaotic systems, which is derived from the theory generalized Hamiltonian system. Three typical example systems are constructed based on proposed method, and their different cover flows investigated theoretically numerically. For each system, motion trajectories both chaotic, can be verified by Lyapunov exponents, it interesting to find that emergence chaos mainly relays corresponding Hamiltonian. Numerical...

Solving the linear first-order Partial Differential Equations (PDEs) derived from unified Lorenz system, it is found that there a Hamiltonian (energy function) for and Chen systems, energy function shows hyperboloid of one sheet system an ellipsoidal surface in three-dimensional phase space, which can be used to explain not equivalent system. Using function, we obtain two generalized realizations these chaotic respectively. Moreover, realization Lü four-dimensional hyperchaotic Lorenz-type...

A new four-dimensional non-autonomous hyper-chaotic system is presented by adding input signal to a based on Lorenz system. The resulting may have any dynamic beharior among the periodic orbits, two-tori, chaos and hyper-chaos controlling frequency of signal, while orbits are more prominent. phenomenon in well demonstrated numerical simulations bifurcation analysis. Finally, an analog electronic circuit designed implement system，and experimental results agreed with simulation results.

Compared with dissipative chaos, conservative chaos is more suitable for information encryption since it does not have attractors, therefore, important to construct different complicated chaotic systems. This paper reports an effective approach a class of 4D systems based on the formalism generalized Hamiltonian system. Based construction approach, several example including one hyperspatial multicluster system are proposed, and cluster-shaped flows discovered in these The only difference...

In this paper, the synchronization of fractional-order generalized augmented Lü system is investigated. Based on predictor—corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and Poincaré maps find that a four-wing chaotic attractor exists in when parameters change within certain ranges. Further, by varying parameters, rich dynamical behaviors occur 2.7-order system. According to stability theory linear system, adopting linearization feedback have...