Circuit realization, bifurcations, chaos and hyperchaos in a new 4D system

Periodically forced system with symmetric motion limiting constraints: Dynamic characteristics and equivalent electronic circuit realization

“…However, we note that most studies of physical implementation of electric circuits describing non-linear dynamics have been based on canonical Chua' circuit [56][57][58], improved canonical Chua's circuit [59][60][61] and smooth non-linear systems (Lorenz equations and coupled Duffing oscillators) [62][63][64][65][66] in the past several years. Very few people have considered the electronic analog of non-smooth mechanical systems.…”

Creation and circuit implementation of two‐to‐eight–wing chaotic attractors using a 3D memristor‐based system

“…After the first solid state realization of a memristor was successfully fabricated in 2008 by researchers at HP, 1 memristor, the new two-terminal circuit element postulated by Chua 2 in 1971 and classified by Chua and Kang 3 in 1976, has been well known and studied thanks to its potential applications in neural networks, novel storage medium, artificial intelligence, and a wide range of other chaotic circuit. [4][5][6][7][8][9][10][11][12] Since the mathematical model involving chaos was first suggested by Lorenz 13 in 1963 and the term chaos was first used by Li and Yorke 14 in 1975, the design of new chaotic systems with complex topological structures are attracting more and more interest in the research. [15][16][17][18][19][20][21][22][23][24][25][26] In 1993, Stone and Miranda observed first multiwing chaotic attractor from a proto-Lorenz system.…”

Adaptive Control of a Four-Dimensional Hyperchaotic System

“…The concept of hyperchaos was first proposed by Rössler [4] who constructed a four-dimensional hyper Rössler system with computer numerical simulation. Compared with chaotic systems, a hyperchaotic system presents more complex dynamic behaviors and is yet technically more challenging [5].…”