A new oscillator with mega-stability and its Hamilton energy: Infinite coexisting hidden and self-excited attractors

2020 ◽  
Vol 30 (3) ◽  
pp. 033112 ◽  
Author(s):  
Gervais Dolvis Leutcho ◽  
Abdul Jalil M. Khalaf ◽  
Zeric Njitacke Tabekoueng ◽  
Theophile Fonzin Fozin ◽  
Jacques Kengne ◽  
...  
Keyword(s):  
Hamilton Energy

scholarly journals Solitary and Periodic Wave Solutions of Sasa–Satsuma Equation and Their Relationship with Hamilton Energy

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-17 ◽  
Author(s):  
Weiguo Zhang ◽  
Xingqian Ling ◽  
Bei-Bei Wang ◽  
Shaowei Li
Keyword(s):  
Solitary Wave ◽  
Integral Method ◽  
First Integral ◽  
Periodic Wave ◽  
Evolutionary Relationships ◽  
Solitary Wave Solutions ◽  
First Integral Method ◽  
Periodic Wave Solutions ◽  
Hamilton Energy ◽  
Wave Solutions

In this paper, we study the exact solitary wave solutions and periodic wave solutions of the S-S equation and give the relationships between solutions and the Hamilton energy of their amplitudes. First, on the basis of the theory of dynamical system, we make qualitative analysis on the amplitudes of solutions. Then, by using undetermined hypothesis method, the first integral method, and the appropriate transformation, two bell-shaped solitary wave solutions and six exact periodic wave solutions are obtained. Furthermore, we discuss the evolutionary relationships between these solutions and find that the appearance of these solutions for the S-S equation is essentially determined by the value which the Hamilton energy takes. Finally, we give some diagrams which show the changing process from the periodic wave solutions to the solitary wave solutions when the Hamilton energy changes.

Calculation of Hamilton energy and control of dynamical systems with different types of attractors

2017 ◽  
Vol 27 (5) ◽  
pp. 053108 ◽  
Author(s):  
Jun Ma ◽  
Fuqiang Wu ◽  
Wuyin Jin ◽  
Ping Zhou ◽  
Tasawar Hayat
Keyword(s):  
Dynamical Systems ◽  
Hamilton Energy ◽  
Different Types ◽  
And Control

scholarly journals Dependence of hidden attractors on non-linearity and Hamilton energy in a class of chaotic system

Kybernetika ◽  
2018 ◽  
pp. 648-663 ◽  
Author(s):  
Ge Zhang ◽  
Chunni Wang ◽  
Ahmed Alsaedi ◽  
Jun Ma ◽  
Guodong Ren
Keyword(s):  
Chaotic System ◽  
Hidden Attractors ◽  
Hamilton Energy

scholarly journals Taut contact hyperbolas on three-manifolds

2021 ◽  
Author(s):  
Domenico Perrone
Keyword(s):  
Critical Point ◽  
Energy Functional ◽  
Anosov Flow ◽  
Contact Circle ◽  
Hamilton Energy ◽  
Metric Structures ◽  
Point Condition ◽  
Invent Math

AbstractIn this paper, we introduce the notion of taut contact hyperbola on three-manifolds. It is the hyperbolic analogue of the taut contact circle notion introduced by Geiges and Gonzalo (Invent. Math., 121: 147–209, 1995), (J. Differ. Geom., 46: 236–286, 1997). Then, we characterize and study this notion, exhibiting several examples, and emphasizing differences and analogies between taut contact hyperbolas and taut contact circles. Moreover, we show that taut contact hyperbolas are related to some classic notions existing in the literature. In particular, it is related to the notion of conformally Anosov flow, to the critical point condition for the Chern–Hamilton energy functional and to the generalized Finsler structures introduced by R. Bryant. Moreover, taut contact hyperbolas are related to the bi-contact metric structures introduced in D. Perrone (Ann. Global Anal. Geom., 52: 213–235, 2017).

Can Hamilton energy feedback suppress the chameleon chaotic flow?

2018 ◽  
Vol 94 (1) ◽  
pp. 669-677 ◽  
Author(s):  
Fuqiang Wu ◽  
Tasawar Hayat ◽  
Xinlei An ◽  
Jun Ma
Keyword(s):  
Energy Feedback ◽  
Chaotic Flow ◽  
Hamilton Energy
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