Chaotically Spiking Canards in an Excitable System with 2D Inertial Fast Manifolds Export

@article{citeulike:1167538, abstract = {We introduce a new class of excitable systems with two-dimensional fast dynamics that includes inertia. A novel transition from excitability to relaxation oscillations is discovered where the usual Hopf bifurcation is followed by a cascade of period doubled and chaotic small excitable attractors and, as they grow, by a new type of canard explosion where a small chaotic background erratically but deterministically triggers excitable spikes. This scenario is also found in a model for a nonlinear Fabry-Perot cavity with one pendular mirror.}, author = {Marino, Francesco and Marin, Francesco and Balle, Salvador and Piro, Oreste}, citeulike-article-id = {1167538}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000007074104000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v98/e074104}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.98.074104}, doi = {10.1103/PhysRevLett.98.074104}, journal = {Physical Review Letters}, keywords = {chaos, excitable, manifolds}, number = {7}, posted-at = {2007-03-16 11:31:01}, priority = {2}, publisher = {APS}, title = {Chaotically Spiking Canards in an Excitable System with 2D Inertial Fast Manifolds}, url = {http://dx.doi.org/10.1103/PhysRevLett.98.074104}, volume = {98}, year = {2007} }

TY - JOUR ID - citeulike:1167538 L3 - citeulike-article-id:1167538 N2 - We introduce a new class of excitable systems with two-dimensional fast dynamics that includes inertia. A novel transition from excitability to relaxation oscillations is discovered where the usual Hopf bifurcation is followed by a cascade of period doubled and chaotic small excitable attractors and, as they grow, by a new type of canard explosion where a small chaotic background erratically but deterministically triggers excitable spikes. This scenario is also found in a model for a nonlinear Fabry-Perot cavity with one pendular mirror. IS - 7 JF - Physical Review Letters TI - Chaotically Spiking Canards in an Excitable System with 2D Inertial Fast Manifolds PB - APS VL - 98 KW - chaos KW - excitable KW - manifolds AU - Marino, Francesco AU - Marin, Francesco AU - Balle, Salvador AU - Piro, Oreste PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.98.074104 ER -