We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).
|Journal||Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|State||Published - 13 Dec 2015|
Bibliographical notePublisher Copyright:
© 2015 The Author(s) Published by the Royal Society. All rights reserved.
- Chaos theory
- Explosive solitons
- Numerical simulations