Research Article ASimpleConservativeChaoticOscillatorwithLineof Equilibria:BifurcationPlot,BasinAnalysis,andMultistability DhinakaranVeeman , 1 HayderNatiq , 2 AhmedM.AliAli , 3 KarthikeyanRajagopal , 4 andIqtadarHussain 5 1 Centre for Additive Manufacturing, Chennai Institute of Technology, Chennai, India 2 Information Technology Collage, Imam Ja’afar Al-Sadiq University, Baghdad 10001, Iraq 3 DepartmentofElectronicsTechniques,BabylonTechnicalInstitute,Al-FuratAl-AwsatTechnicalUniversity,Babylon51001,Iraq 4 Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India 5 Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha 2713, Qatar Correspondence should be addressed to Karthikeyan Rajagopal; rkarthiekeyan@gmail.com Received 4 August 2021; Revised 23 February 2022; Accepted 7 March 2022; Published 26 March 2022 Academic Editor: M. De Aguiar Copyright © 2022 Dhinakaran Veeman et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dy- namical properties of the oscillator reveals its unique behaviors. e oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents (LEs), and the Poincare section of the oscillator’s dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. e study results show that the oscillator is conservative and has no dissipation. It also has various dynamics, such as equilibrium point and chaos. e stability analysis of equilibrium points shows there are both stable and unstable fixed points. 1.Introduction Chaotic dynamics have been an interesting topic for many years. e chaotic Lorenz oscillator was proposed to model the atmosphere in 1963 [1]. ere was a hypothesis that the chaotic attractors are associated with saddle equilibria. So, many well-known chaotic oscillators contain a saddle equilibrium [2, 3]. In 2011, Wei proposed a chaotic oscillator without an equilibrium point [4]. Also, in 2012, Wang and Chen presented a novel chaotic oscillator with one stable equilibrium [5]. ese works have shown that a flow can have chaotic dynamics with any equilibria or without it [6, 7]. Many studies have discussed chaotic oscillators with lines of equilibria [8, 9]. Lyapunov exponent is a valuable measure in the study of chaos, and its calculation has been a hot topic [10]. Many research studies have been focused on proposing chaotic flows with various features [11–13]. Multiscroll dynamics were discussed in [14]. Hyperchaotic oscillators are attractive because of their complex dynamics [15]. e hyperchaotic dynamics are efficient in secure communica- tions so that it is not possible to retrieve hidden messages [16]. ese oscillators also have two positive LEs and high sensitivity to initial values [17]. In [18], a hyperchaotic oscillator with no equilibria was studied. Oscillators with self-excited and hidden attractors were discussed in [19, 20]. In [21], hidden dynamics in a piecewise linear oscillator were studied. Synchronization and control of chaotic flows have attracted much attention [22]. Multistability is a significant feature of dynamical systems [23]. e final circumstance of a multistable oscillator is determined by initial conditions in a constant set of parameters [24]. In case of undesirable multistability, the final state can be controlled by selecting the proper parameters to transform to monostability [25]. e multistability of a piecewise linear oscillator with var- ious types of attractors was investigated in [26]. A Hindawi Complexity Volume 2022, Article ID 9345036, 7 pages https://doi.org/10.1155/2022/9345036