Hidden attractors in dynamical systems. From hidden oscillations in Hilbert–Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits
GA Leonov, NV Kuznetsov - International Journal of Bifurcation and …, 2013 - World Scientific
From a computational point of view, in nonlinear dynamical systems, attractors can be
regarded as self-excited and hidden attractors. Self-excited attractors can be localized …
regarded as self-excited and hidden attractors. Self-excited attractors can be localized …
Bifurcation control: theories, methods, and applications
Bifurcation control deals with modification of bifurcation characteristics of a parameterized
nonlinear system by a designed control input. Typical bifurcation control objectives include …
nonlinear system by a designed control input. Typical bifurcation control objectives include …
A bio-inspired semi-active vibration isolator with variable-stiffness dielectric elastomer: Design and modeling
Y Zhao, G Meng - Journal of Sound and Vibration, 2020 - Elsevier
This paper proposes a bio-inspired semi-active vibration isolator with the dielectric
elastomer based variable stiffness element for the vibration suppression of the free-floating …
elastomer based variable stiffness element for the vibration suppression of the free-floating …
Numerical continuation of bifurcations of limit cycles in MATLAB
W Govaerts, YA Kuznetsov, A Dhooge - SIAM journal on scientific computing, 2005 - SIAM
\rmCL\_MATCONT and MATCONT are MATLAB continuation packages for the interactive
numerical study of a range of parameterized nonlinear dynamical systems, in particular …
numerical study of a range of parameterized nonlinear dynamical systems, in particular …
Dynamics and control of supercavitating vehicles
G Lin, B Balachandran, EH Abed - 2008 - asmedigitalcollection.asme.org
Analytical and numerical investigations into the dynamics and control of dive-plane
dynamics of supercavitating vehicles are presented. Dominant nonlinearities associated …
dynamics of supercavitating vehicles are presented. Dominant nonlinearities associated …
Multivariable harmonic balance for central pattern generators
T Iwasaki - Automatica, 2008 - Elsevier
The central pattern generator (CPG) is a nonlinear oscillator formed by a group of neurons,
providing a fundamental control mechanism underlying rhythmic movements in animal …
providing a fundamental control mechanism underlying rhythmic movements in animal …
Hopf bifurcation control via a dynamic state-feedback control
KS Hong - Physics Letters A, 2012 - Elsevier
To relocate two Hopf bifurcation points, simultaneously, to any desired locations in n-
dimensional nonlinear systems, a novel dynamic state-feedback control law is proposed …
dimensional nonlinear systems, a novel dynamic state-feedback control law is proposed …
Memristor circuits for simulating neuron spiking and burst phenomena
Since the introduction of memristors, it has been widely recognized that they can be
successfully employed as synapses in neuromorphic circuits. This paper focuses on …
successfully employed as synapses in neuromorphic circuits. This paper focuses on …
Anti-control of Hopf bifurcations
Bifurcation control generally means to design a controller that is capable of modifying the
bifurcation characteristics of a bifurcating nonlinear system, thereby achieving some …
bifurcation characteristics of a bifurcating nonlinear system, thereby achieving some …
Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order PI^ λ D^ μ PI λ D μ feedback controller
L Chen, T Zhao, W Li, J Zhao - Nonlinear Dynamics, 2016 - Springer
An innovative bifurcation control method by using a weakly fractional-order PI^ λ D^ μ PI λ D
μ feedback controller is proposed to eliminate the stochastic jump in the forced response for …
μ feedback controller is proposed to eliminate the stochastic jump in the forced response for …