naa a22 4500 510767850 CHVBK 20180411083202.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12043-013-0595-3 doi (NATIONALLICENCE)springer-10.1007/s12043-013-0595-3 Oscillation death in a coupled van der Pol-Mathieu system [Elektronische Daten] [MADHURJYA BORA, DIPAK SARMAH] We report an investigation of the oscillation death (OD) of a parametrically excited coupled van der Pol-Mathieu (vdPM) system. The system can be considered as a pair of harmonically forced van der Pol oscillators under a double-well potential. The two oscillators are coupled with a cubic nonlinearity. We have shown that the system arrives at an OD regime when coupling strength crosses a threshold value at which the system undergoes saddle-node bifurcation and two limit cycles coalesce onto a fixed point of the system. We have further shown that this nonautonomous system possesses a centre manifold corresponding to the OD regime. Indian Academy of Sciences, 2013 Nonautonomous oscillator nationallicence coupled oscillator nationallicence oscillation death nationallicence centre manifold nationallicence BORA MADHURJYA Physics Department, Gauhati University, 781 014, Guwahati, India aut SARMAH DIPAK Physics Department, Gauhati University, 781 014, Guwahati, India aut Pramana Springer India 81/4(2013-10-01), 677-690 0304-4289 81:4<677 2013 81 12043 https://doi.org/10.1007/s12043-013-0595-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-013-0595-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- BORA MADHURJYA Physics Department, Gauhati University, 781 014, Guwahati, India aut NATIONALLICENCE 700 1- SARMAH DIPAK Physics Department, Gauhati University, 781 014, Guwahati, India aut NATIONALLICENCE 773 0- Pramana Springer India 81/4(2013-10-01), 677-690 0304-4289 81:4<677 2013 81 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer