The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In the paper entitled “Introduction and synchronization of a five-term chaotic system with an absolute-value term” in [Nonlinear Dyn. 73 (2013) 311–323], Pyung Hun Chang and Dongwon Kim proposed the following 3D chaotic system $$\dot{x}= a(y - x),\, \dot{y}= xz,\, \dot{z}= b|y| - y^{2}$$ x ˙ = a ( y - x ) , y ˙ = x z , z ˙ = b | y | - y 2 . Combining theoretical analysis with...
We revisit a 3D chaotic system in Dias et al. (Nonlinear Anal Real World Appl 11(5): 3491–3500, 2010) and mainly consider its singular orbits not yet investigated: homoclinic and heteroclinic orbits and singularly degenerate heteroclinic cycles. We first consider the existence of homoclinic and heteroclinic orbits. Our results, one of which shows the existence of two heteroclinic orbits for $$c...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.