A new finding of the existence of hidden hyperchaotic attractors with no equilibria

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

“…In these last years, hyperchaotic systems have gained the interest of the scientific community and new systems and circuits are proposed [3][4][5][6][7][8]. This great interest can be explained by the aptitude of hyperchaotic systems to generate complex dynamics characterized by more than one positive Lyapunov exponent and attractors deployed in multiple directions.…”

Multimedia Security Application of a Ten-Term Chaotic System without Equilibrium

“…A System without Equilibrium. Chaotic systems without equilibrium attract have been attracting a lot of interest [38][39][40][41][42]. When mentioning a chaotic system without equilibrium, it means that there is no real equilibrium in such a system.…”

Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping

“…These systems include dynamical systems with no equilibrium points [13][14][15][16][17][18][19][20][21], with only stable equilibria [22][23][24][25][26][27], with curves of equilibria [28][29][30], with surfaces of equilibria [8,9], and with non-hyperbolic equilibria [31,32]. Many of these examples belong to a new category of dynamical systems with hidden attractors [33][34][35][36][37][38][39][40][41][42].…”