In the Purāṇas there are two different opinions concerning Lord Rāmacandra. In the Laghu-bhāgavatāmṛta (5.34-36) this is confirmed in the description of the incarnation of Manu.
pādme tu rāmo bhagavān
śeṣaś cakraṁ ca śaṅkhaś ca
kramāt syur lakṣmaṇādayaḥ
pure ’sya vasatiḥ smṛtā
The Viṣṇu-dharmottara describes that Lord Rāmacandra and His brothers — Lakṣmaṇa, Bharata and Śatrughna — are incarnations of Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha respectively. The Padma Purāṇa, however, says that Lord Rāmacandra is an incarnation of Nārāyaṇa and that the other three brothers are incarnations of Śeṣa, Cakra and Śaṅkha. Therefore Śrīla Baladeva Vidyābhūṣaṇa has concluded, tad idaṁ kalpa-bhedenaiva sambhāvyam. In other words, these opinions are not contradictory. In some millenniums Lord Rāmacandra and His brothers appear as incarnations of Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha, and in other millenniums They appear as incarnations of Nārāyaṇa, Śeṣa, Cakra and Śaṅkha. The residence of Lord Rāmacandra on this planet is Ayodhyā. Ayodhyā City is still existing in the district of Faizabad, which is situated on the northern side of Uttar Pradesh.