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1.A limit-cycle self-organizing map architecture for stable arm control

作者：Di-Wei Huang^a ; ^{dwh@cs.umd.edu} ; Rodolphe J. Gentili^b ; ^c ; ^d ; ^{rodolphe@umd.edu} ; Garrett E. Katz^a ; ^{gkatz12@umd.edu} ; James A. Reggia^a ; ^c ; ^d ; ^e ; ^{reggia@cs.umd.edu}

关键词：Self-organizing map ; Neural architecture ; Limit cycle attractor ; Robotic arm control ; Neural oscillation

刊名：Neural Networks

出版年：2017

2.Nine limit cycles around a singular point by perturbing a cubic Hamiltonian system with a nilpotent center

作者：Junmin Yang^a ; Pei Yu ; ^b ; ^pyu@uwo.ca

关键词：Near-Hamiltonian system ; Nilpotent center ; Hopf bifurcation ; Limit cycle ; Normal form ; Generalized Lyapunov constant

刊名：Applied Mathematics and Computation

出版年：2017

3.Using Melnikov functions of any order for studying limit cycles

作者：Gheorghe Tigan ^{gheorghe.tigan@upt.ro}

关键词：Limit cycles ; Hamiltonian systems ; Melnikov functions

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

4.Limit cycles in planar continuous piecewise linear systems

作者：Hebai Chen ; ^a ; ^{chen_hebai@sina.com} ; Denghui Li^a ; ^{lidenghui201111@126.com} ; Jianhua Xie^a ; ^{jhxie2000@126.com} ; Yuan Yue^a ; ^b ; ^{leyuan2003@sina.com}

关键词：Piecewise linear system ; Bifurcation ; Limit cycle ; Periodic orbit

刊名：Communications in Nonlinear Science and Numerical Simulation

出版年：2017

5.Thermal-structural post-bucking and limit-cycle oscillation of Functionally Graded Materials

作者：Young-Hoon Lee^a ; ^{huri923@snu.ac.kr} ; Ji-Hwan Kim^b ; ^{jwhkim@snu.ac.kr}

关键词：Functionally Graded Materials ; Thermal post-buckling ; Limit-cycle oscillation ; Neutral surface

刊名：Composite Structures

出版年：2017

6.Bifurcation of limit cycles by perturbing piecewise smooth integrable non-Hamiltonian systems

作者：Shimin Li^a ; ^{lism1983@126.com" class="auth_mail" title="E-mail the corresponding author} ; Xiuli Cen^b ; ^{cenxiuli2010@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yulin Zhao^c ; ^{mcszyl@mail.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author}

关键词：Limit cycle ; Piecewise smooth differential system ; Melnikov function

刊名：Nonlinear Analysis: Real World Applications

出版年：2017

7.Bounding the number of limit cycles for a polynomial Liénard system by using regular chains

作者：Xianbo Sun^a ; ^{xianbo01@126.com" class="auth_mail" title="E-mail the corresponding author} ; Wentao Huang^b ; ^c ; ^{huangwentao@163.com" class="auth_mail" title="E-mail the corresponding author}

关键词：Regular chain ; Limit cycle ; Lié ; nard system ; Melnikov function

刊名：Journal of Symbolic Computation

出版年：2017

8.Uniqueness and hyperbolicity of limit cycles for autonomous planar systems with zero diagonal coefficient

作者：Zhang Daoxiang ; Ping Yan ; ^{ping.yan@helsinki.fi}

关键词：Autonomous planar systems ; Limit cycle ; Uniqueness ; Hyperbolicity ; Exponential asymptoticity

刊名：Applied Mathematics Letters

出版年：2017

9.Limit cycles of discontinuous piecewise polynomial vector fields

作者：Tiago de Carvalho^a ; ^{tcarvalho@fc.unesp.br} ; Jaume Llibre^b ; ^{jllibre@mat.uab.cat} ; Durval José ; Tonon^c ; ^{djtonon@ufg.br}

关键词：Piecewise smooth vector fields ; Limit cycle ; Averaging theory ; Cyclicity

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

10.On the number of limit cycles for a class of discontinuous quadratic differential systems

作者：Xiuli Cen^a ; ^{cenxiuli2010@163.com} ; Shimin Li^b ; ^{lism1983@126.com} ; Yulin Zhao^c ; ^{mcszyl@mail.sysu.edu.cn}

关键词：Limit cycle ; Discontinuous differential system ; Averaging method ; Isochronous center ; Chebyshev criterion

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

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